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7.1 - Angle Relationships in Triangles

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<strong>7.1</strong> - <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong><br />

<strong>Triangles</strong><br />

Complete <strong>in</strong>vestigation on pg. 364<br />

MPM1D ­ Mr. Robyn<br />

1


A<br />

Vertex ­ po<strong>in</strong>t where two or more sides<br />

meet. The vertex is always labelled with a<br />

capital letter. Ex. A, B, C<br />

B<br />

C<br />

Interior <strong>Angle</strong> ­ <strong>Angle</strong> formed on the <strong>in</strong>side<br />

of a polygon by two sides meet<strong>in</strong>g at the<br />

vertex.<br />

Exterior <strong>Angle</strong> ­ <strong>Angle</strong> formed on the<br />

outside of a geometric shape by extend<strong>in</strong>g<br />

one of the sides past the vertex.<br />

2


From the <strong>in</strong>vestigation:<br />

1) The three <strong>in</strong>terior angles of a triangle add up to 180 o<br />

2) The exterior angles of a triangle add up to 360 o<br />

3) The exterior angle and its <strong>in</strong>terior angle add up to 180 o<br />

3


Example 1:<br />

F<strong>in</strong>d the measures of the exterior angles of<br />

ABC.<br />

D<br />

A<br />

E<br />

B<br />

70 o 40 o<br />

C<br />

F<br />

4


Example 2:<br />

What is the measure of each exterior angle of an equilateral<br />

triangle<br />

5


Homework:<br />

Copy Key Concepts <strong>in</strong>to your notes<br />

from pg. 370<br />

pg. 371 C1, C2 as a class<br />

pg. 371 #1­6<br />

6

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